![]() Please note that the following information is subject to change.ĩ% - Unit Self-Assessments (best 9 of 12 each half)ġ0% - Live Sessions (best 5 of 6 each half) Constrained optimization and Lagrange multipliers.Construct application models from word problems involving multivariate functions, and use differential calculus to investigate properties of the model (related rates and optimization).derivs, gradient, directional deriv) in multivariate functions. Demonstrate an understanding between graphical presentation and calculus concepts (1st, 2nd part.Construct differential equation models from word problems and use qualitative and algebraic methods to investigate properties of the models.Understand the issues involved with infinite intervals or asymptotic values in evaluating integrals.Understand properties related to the integral - average value, continuous anti-derivatives.Construct application models from word problems and use integrals and/or derivatives to investigate properties of the models.Understand the graphical/area interpretation of integration and average value. ![]() Understand the relationship between integration and area under a curve/rate graph.Use relationships between modeling variables to estimate the effects of changes of inputs or outputs.Use relationships between modeling variables to construct relationships between their rates of change.Use derivatives to locate and classify critical points in optimization problems.Construct application models from word problems and use derivatives to investigate properties of the models.Understand the difference between various possible approximations to a function.Understand the tangent-slope and rate of change meanings of the derivative.Calculate value of finite and infinite limits of continuous and discontinuous functions (with or without l'Hopital's rule), given a function. ![]()
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